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Finding the Fourth Proportional to 489,378.89, 733,831.01 and 287,041.12

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Solution

The fourth proportional to 489,378.89, 733,831.01 and 287,041.12 is: 430,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,378.89 : 733,831.01 = 287,041.12 : x
  2. Step 2: Convert to fraction form
    489,378.89/733,831.01 = 287,041.12/x
  3. Step 3: Cross multiply
    489,378.89x = 733,831.01 × 287,041.12
  4. Step 4: Simplify right side
    489,378.89x = 210,639,673,884.16
  5. Step 5: Solve for x
    x = 210,639,673,884.16/489,378.89
  6. Step 6: Final answer
    x = 430,422.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.